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Finding the Fourth Proportional to 208,565.57, 287,667.62 and 136,919.45

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Solution

The fourth proportional to 208,565.57, 287,667.62 and 136,919.45 is: 188,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.57 : 287,667.62 = 136,919.45 : x
  2. Step 2: Convert to fraction form
    208,565.57/287,667.62 = 136,919.45/x
  3. Step 3: Cross multiply
    208,565.57x = 287,667.62 × 136,919.45
  4. Step 4: Simplify right side
    208,565.57x = 39,387,292,861.23
  5. Step 5: Solve for x
    x = 39,387,292,861.23/208,565.57
  6. Step 6: Final answer
    x = 188,848.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.